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Finding the Third Proportional to 103,718.58 and 160,184.67

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Solution

The third proportional to 103,718.58 and 160,184.67 is: 247,391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,718.58 : 160,184.67 = 160,184.67 : x
  2. Step 2: Convert to fraction form
    103,718.58/160,184.67 = 160,184.67/x
  3. Step 3: Cross multiply
    103,718.58x = 160,184.67 × 160,184.67
  4. Step 4: Simplify right side
    103,718.58x = 25,659,128,047.79
  5. Step 5: Solve for x
    x = 25,659,128,047.79/103,718.58
  6. Step 6: Final answer
    x = 247,391.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.